More Power Functions (VCE SSCE Mathematical Methods): Flashcards

$\frac{1}{x^{\frac{1}{n}}}$ or $\frac{1}{\sqrt[n]{x}}$

$\mathbb{R} \setminus \{0\}$ (all reals except zero)

$\mathbb{R}^+$ (positive real numbers only)

$y = 0$

$x = 0$

Odd function: $f(-x) = -f(x)$

$(x^{\frac{1}{q}})^p$ or $(\sqrt[q]{x})^p$

$\mathbb{R}$ (all real numbers)

$\mathbb{R}^+ \cup \{0\}$ (non-negative reals)

$q$ (denominator)